Question no 18-18- nbsp- Two identical calorimeters -X- and -Y- of water equivalent 10 g each- contain equal quantities of same liquid- The mass- initial temperature and specific heat capacity of the liquid present in both calorimeters are nbsp-50 -160-g- -160-25 -176-C -160-and -160-12cal -160-g-1 -176-C-1 -160-respectively- -160-A -160-10 -160-g -160-metal -160-piece -160-say -160-A- -160-of -160-specific -160-heat -160-capacity -160-0-4 -160-cal -160-g-1 -176-C-1is dropped in calorimeter quot-X quot- and 25 g of metal piece -say B- of specific heat capacity quot-SB quot- nbsp- is dropped into calorimeter quot-Y quot- Due to this the equilibrium temperature in -X- and -Y- rises to 30 -176-C -160-and -160-40 -176-C -160-respectively- -160-If -160-the -160-initial -160-temperature -160-of -160-B- -160-is -160-twice -160-of -160-A- -160-then -160-find -160-the -160-value -160-of -160- -34-SB -34-

Dear student In #160;calorimeter #160;XHeat #160;lost #160;by #160;metal #160;A= #160;heat #160;gained #160;by #160;liquid #160;calorime ...

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Standard VIII

Physics

Units of Heat

Question no 1...

Question

Question no 18

18. Two identical calorimeters 'X' and 'Y', of water equivalent 10 g each, contain equal quantities of same liquid. The mass, initial temperature and specific heat capacity of the liquid present in both calorimeters are $50 g, 25 ° C a n d \frac{1}{2} c a l g^{- 1 °} C^{- 1} r e s p e c t i v e l y . A 10 g m e t a l p i e c e (s a y A) o f s p e c i f i c h e a t c a p a c i t y 0.4 c a l g^{- 1 °} C^{- 1}$ is dropped in calorimeter "X" and 25 g of metal piece (say B) of specific heat capacity "S_B" is dropped into calorimeter "Y". Due to this the equilibrium temperature in 'X' and 'Y' rises to $30 ° C a n d 40 ° C r e s p e c t i v e l y . I f t h e i n i t i a l t e m p e r a t u r e o f' B' i s t w i c e o f' A', t h e n f i n d t h e v a l u e o f " S_{B} " .$

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$I n c a l o r i m e t e r X H e a t l o s t b y m e t a l A = h e a t g a i n e d b y l i q u i d c a l o r i m e t e r X m_{A} . S_{A} . (∆ t)_{A} = {50 g \times 0.5 \times (30 - 25)} + (5^{o} C \times 10 g)} 10 \times 0.4 \times (T - 30^{o} C) = (50 \times 0.5 \times 5 + 50 c a l) - - (1) I n c a l o r i m e t e r Y F i n d t h e i n i t i a l t e m p e r a t u r e o f m e t a l B (2 T) . H e a t l o s t b y m e t a l B = h e a t g a i n e d b y (l i q u i d + c a l o r i m e t e r) m_{B} . S_{B} (2 T - 40) = 50 g \times 0.5 \times (40 - 25) + (15^{o} C \times 25 g) S o l v i n g w e g e t S_{B} = 0.2 c a l / g /^{o} C$
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Similar questions

Q. Two identical calorimeters 'X' and 'Y', of water equivalent 10 g each, contain equal quantities of the same liquid. The mass, initial temperature and specific heat capacity of the liquid present in both calorimeters are 50 g,

25^{\circ} C

and

\frac{1}{2} c a l g^{- 1}^{\circ} C^{- 1}

respectively. A 10 g metal piece (say A) of specific heat capacity

0.4 c a l g^{- 1}^{\circ} C^{- 1}

is dropped in calorimeter "X". and 25 g of metal piece (say B) of specific heat capacity "

S_{B}

" is dropped into calorimeter "Y". Due to this, the equilibrium temperature in 'X' and 'Y' rises to

30^{\circ} C

and

40^{\circ} C

respectively. If the initial temperature of 'B' is twice that of 'A', then find the value of "

S_{B}

Q. A calorimeter of mass

50 g

and specific heat capacity

0.42 J g^{- 1} ℃^{- 1}

contains some mass of water at

20^{o} C

. A metal piece of mass

20 g

100^{o} C

is dropped into the calorimeter. After stirring, the final temperature of the mixture is found to be

22^{o} C

. Find the mass of water used in the calorimeter.
[specific heat capacity of the metal piece

= 0.3 J g^{- 1} ℃^{- 1}

specific heat capacity of water

= 4.2 J g^{- 1} ℃^{- 1}

]

Q. Two identical calorimeter

A

and

B

contain equal quantity of water at

20^{\circ} C

. A

5 g m

piece of metal

X

of specific heat

0.2 c a l g^{- 1} (C^{\circ})^{- 1}

is dropped into

A

and a

5 g m

piece of metal

Y

into

B

. The equilibrium temperature in

A

22^{\circ} C

and in

B 23^{\circ} C

. The initial temperature of both the metals is

40^{\circ} C

. Find the specific heat of metal

Y

in cal

g^{- 1} (C^{\circ})^{- 1}

Q. Two identical calorimeters P and Q contain an equal quantity of the water at

12^{o} C

. A 5 g piece of metal

x

of specific heat

0.2 c a l g^{- 1}^{o} C^{- 1}

is dropped into P and a 5g piece of metal

y

into Q. The equilibrium temperature in P is

22^{o} C

and in Q

23^{o} C

. If the initial temperature of both the metals is

40^{o} C

. Find the specific heat of metal y.

Q. Two identical calorimeters P and Q contain equal quantity of the water at

12^{o}

C. A

5

g piece of metal x of specific heat

0.2

cal

g^{- 1}^{o} C^{- 1}

is dropped into P and a

5

g piece of metal y into Q. The equilibrium temperature in P is

22^{o}

C and in Q

23^{o}

C. If the initial temperature of both the metals is

40^{o}

C. Find the specific heat of metal y.

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